Optical constants

Refractive index of J-LAK12 (HIKARI)

J-LAK12: n,k 0.365–2.058 µm

Data
formula 3 + tabulated k
Range
0.365–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.058 µm
Refractive index n
1.6779
Extinction coefficient k
2.70488e-08
Permittivity ε1
2.81534
Permittivity ε2
9.07704e-08
Absorption coefficient α
0.00578465 cm⁻¹
Penetration depth δ = λ/(2πk)
3.45743e+09 nm
Abbe number Vd
55.348
Chromatic dispersion dn/dλ
-0.0631546 µm⁻¹
Group index ng
1.71501
Group velocity dispersion
111.925 fs²/mm
Dispersion parameter D
-610.611 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# J-LAK12 (HIKARI): J-LAK12
hikari_j_lak12 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak12.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak12.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Polynomial (formula 3), λ in µm
n2=2.76331704−0.0111612524⁢λ2.0−0.000129016401⁢λ4.0+0.0184973677⁢λ−2.0+0.000256863267⁢λ−4.0+6.55822525×10-6⁢λ−6.0+7.62548252×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.76331704
C2-0.0111612524
C32.0
C4-0.000129016401
C54.0
C60.0184973677
C7-2.0
C80.000256863267
C9-4.0
C106.55822525e-06
C11-6.0
C127.62548252e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -3.2027e-06 1.0309e-08 -1.46e-12 5.4747e-07 4.6348e-10 0.17237
nd
1.677900
Vd
55.348146
density
value: 3780
thermal expansion
value: 7.8e-06, temperature range: 243 343
dPgF
-0.0045
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -9.31e-07 K⁻¹ at 633 nm, dn/dT = -1.52e-06 K⁻¹ at 1310 nm, dn/dT = -1.56e-06 K⁻¹ at 1550 nm

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 421 wavelengths, the same grid as the API and the library
J-LAK12 (HIKARI), J-LAK12: n and k versus wavelength
λ (µm)nk
0.3650151.7082582.833295e-07
0.3666011.7078072.631878e-07
0.3681931.7073612.429586e-07
0.3697931.706922.226415e-07
0.371.7068632.200100e-07
0.3713991.7064832.091501e-07
0.3730131.7060511.966281e-07
0.3746331.7056231.840518e-07
0.3762611.70521.714208e-07
0.3778951.7047821.587349e-07
0.3795371.7043671.459940e-07
0.381.7042511.424000e-07
0.3811861.7039571.371036e-07
0.3828421.7035511.297068e-07
0.3845051.703151.222778e-07
0.3861751.7027521.148166e-07
0.3878531.7023591.073229e-07
0.3895381.7019699.979670e-08
0.391.7018639.773200e-08
0.391231.7015849.482106e-08
0.392931.7012029.079880e-08
0.3946371.7008258.675906e-08
0.3963511.7004518.270178e-08
0.3980731.7000817.862687e-08
0.3998021.6997147.453426e-08
0.41.6996737.406600e-08
0.4015391.6993527.251487e-08
0.4032831.6989937.075671e-08
0.4050351.6986376.899091e-08
0.4067951.6982866.721744e-08
0.4085621.6979376.543627e-08
0.4103371.6975926.364736e-08
0.412121.6972516.185068e-08
0.413911.6969136.004619e-08
0.4157081.6965785.823386e-08
0.4175141.6962475.641366e-08
0.4193281.6959195.458555e-08
0.421.6957995.390800e-08
0.4211491.6955945.344300e-08
0.4229791.6952725.270285e-08
0.4248171.6949545.195948e-08
0.4266621.6946395.121288e-08
0.4285161.6943265.046304e-08
0.4303771.6940174.970994e-08
0.4322471.6937114.895357e-08
0.4341251.6934074.819392e-08
0.436011.6931074.743096e-08
0.4379051.692814.666469e-08
0.4398071.6925154.589509e-08
0.441.6924854.581700e-08
0.4417181.6922234.504176e-08
0.4436371.6919344.417566e-08
0.4455641.6916484.330579e-08
0.4474991.6913654.243214e-08
0.4494431.6910844.155470e-08
0.4513961.6908064.067344e-08
0.4533571.6905313.978836e-08
0.4553261.6902583.889943e-08
0.4573041.6899873.800664e-08
0.4592911.689723.710997e-08
0.461.6896253.679000e-08
0.4612861.6894553.639708e-08
0.463291.6891923.578498e-08
0.4653031.6889323.517022e-08
0.4673241.6886743.455279e-08
0.4693541.6884193.393267e-08
0.4713931.6881663.330987e-08
0.4734411.6879153.268435e-08
0.4754981.6876673.205612e-08
0.4775641.6874213.142516e-08
0.4796381.6871773.079146e-08
0.481.6871353.068100e-08
0.4817221.6869363.010102e-08
0.4838151.6866962.939619e-08
0.4859171.6864592.868831e-08
0.4880271.6862242.797734e-08
0.4901481.6859922.726329e-08
0.4922771.6857612.654614e-08
0.4944151.6855332.582587e-08
0.4965631.6853062.510247e-08
0.4987211.6850822.437593e-08
0.51.684952.394500e-08
0.5008871.684862.390941e-08
0.5030631.6846392.382211e-08
0.5052481.6844212.373443e-08
0.5074431.6842042.364637e-08
0.5096481.683992.355793e-08
0.5118621.6837772.346910e-08
0.5140861.6835672.337989e-08
0.5163191.6833582.329029e-08
0.5185621.6831512.320030e-08
0.5208151.6829462.310992e-08
0.5230771.6827432.301915e-08
0.5253491.6825412.292798e-08
0.5276321.6823422.283641e-08
0.5299241.6821442.274445e-08
0.5322261.6819482.265209e-08
0.5345381.6817532.255933e-08
0.536861.681562.246617e-08
0.5391931.6813692.237260e-08
0.5415351.681182.227862e-08
0.5438871.6809922.218424e-08
0.546251.6808062.208944e-08
0.5486231.6806212.199423e-08
0.551.6805152.193900e-08
0.5510071.6804382.207580e-08
0.55341.6802562.240110e-08
0.5558041.6800772.272782e-08
0.5582191.6798982.305596e-08
0.5606441.6797212.338552e-08
0.563081.6795462.371651e-08
0.5655261.6793722.404895e-08
0.5679821.67922.438282e-08
0.570451.6790292.471815e-08
0.5729281.6788592.505493e-08
0.5754171.6786912.539318e-08
0.5779171.6785242.573289e-08
0.5804271.6783592.607408e-08
0.5829491.6781952.641676e-08
0.5854811.6780322.676092e-08
0.5880251.6778712.710658e-08
0.5905791.6777112.745374e-08
0.5931451.6775522.780240e-08
0.5957221.6773952.815258e-08
0.598311.6772392.850429e-08
0.61.6771382.873400e-08
0.6009091.6770842.877754e-08
0.6035191.676932.890258e-08
0.6061411.6767782.902816e-08
0.6087741.6766272.915430e-08
0.6114191.6764772.928097e-08
0.6140751.6763282.940820e-08
0.6167431.676182.953599e-08
0.6194221.6760342.966432e-08
0.6221131.6758892.979322e-08
0.6248161.6757452.992267e-08
0.627531.6756023.005269e-08
0.6302561.675463.018327e-08
0.6329941.6753193.031442e-08
0.6357441.6751793.044614e-08
0.6385061.6750413.057843e-08
0.641281.6749033.071130e-08
0.6440661.6747673.084474e-08
0.6468641.6746313.097876e-08
0.6496741.6744973.111337e-08
0.651.6744813.112900e-08
0.6524961.6743633.124851e-08
0.6553311.6742313.138423e-08
0.6581781.6740993.152054e-08
0.6610371.6739693.165744e-08
0.6639081.673843.179494e-08
0.6667931.6737113.193303e-08
0.6696891.6735833.207173e-08
0.6725991.6734573.221102e-08
0.6755211.6733313.235092e-08
0.6784551.6732063.249143e-08
0.6814031.6730823.263255e-08
0.6843631.6729593.277429e-08
0.6873361.6728373.291664e-08
0.6903221.6727163.305960e-08
0.6933211.6725953.320319e-08
0.6963331.6724763.334740e-08
0.6993581.6723573.349224e-08
0.71.6723323.352300e-08
0.7023961.6722393.394492e-08
0.7054471.6721223.448230e-08
0.7085121.6720053.502201e-08
0.711591.671893.556407e-08
0.7146811.6717753.610848e-08
0.7177861.6716613.665525e-08
0.7209041.6715483.720440e-08
0.7240361.6714363.775594e-08
0.7271811.6713243.830987e-08
0.730341.6712133.886621e-08
0.7335131.6711033.942497e-08
0.73671.6709933.998615e-08
0.73991.6708844.054977e-08
0.7431141.6707764.111584e-08
0.7463421.6706694.168437e-08
0.7495851.6705624.225537e-08
0.7528411.6704564.282885e-08
0.7561121.670354.340482e-08
0.7593961.6702464.398330e-08
0.7626951.6701414.456428e-08
0.7660091.6700384.514779e-08
0.7693361.6699354.573384e-08
0.7726791.6698334.632243e-08
0.7760351.6697314.691358e-08
0.7794071.669634.750729e-08
0.7827931.669534.810359e-08
0.7861931.669434.870247e-08
0.7896091.669334.930396e-08
0.7930391.6692324.990806e-08
0.7964841.6691345.051479e-08
0.7999441.6690365.112415e-08
0.81.6690345.113400e-08
0.8034191.6689394.987587e-08
0.8069091.6688424.859161e-08
0.8104151.6687464.730176e-08
0.8139351.6686514.600631e-08
0.8174711.6685564.470523e-08
0.8210231.6684614.339849e-08
0.8245891.6683674.208609e-08
0.8281721.6682744.076798e-08
0.8317691.6681813.944414e-08
0.8353831.6680883.811455e-08
0.8390121.6679963.677919e-08
0.8426571.6679043.543803e-08
0.8463171.6678133.409104e-08
0.8499941.6677223.273819e-08
0.8536871.6676323.137947e-08
0.8573951.6675423.001485e-08
0.861121.6674532.864430e-08
0.8648611.6673642.726780e-08
0.8686181.6672752.588532e-08
0.8723911.6671872.449683e-08
0.8761811.6670992.310230e-08
0.8799881.6670112.170172e-08
0.8838111.6669242.029506e-08
0.887651.6668371.888228e-08
0.8915061.6667511.746337e-08
0.8953791.6666651.603830e-08
0.8992691.6665791.460703e-08
0.91.6665631.433800e-08
0.9031751.6664941.489552e-08
0.9070991.6664091.558439e-08
0.911041.6663241.627625e-08
0.9149981.6662391.697112e-08
0.9189721.6661551.766900e-08
0.9229651.6660721.836992e-08
0.9269741.6659881.907388e-08
0.9310011.6659051.978090e-08
0.9350461.6658222.049099e-08
0.9391081.6657392.120416e-08
0.9431881.6656572.192044e-08
0.9472851.6655752.263982e-08
0.95141.6654932.336233e-08
0.9555331.6654112.408798e-08
0.9596841.665332.481678e-08
0.9638531.6652492.554875e-08
0.9680411.6651682.628390e-08
0.9722461.6650872.702224e-08
0.976471.6650072.776379e-08
0.9807121.6649262.850856e-08
0.9849721.6648462.925656e-08
0.9892511.6647673.000782e-08
0.9935491.6646873.076234e-08
0.9978651.6646073.152013e-08
11.6645683.189500e-08
1.00221.6645283.185976e-08
1.006551.6644493.179001e-08
1.010931.664373.171996e-08
1.015321.6642913.164961e-08
1.019731.6642133.157894e-08
1.024161.6641343.150798e-08
1.028611.6640563.143670e-08
1.033081.6639773.136512e-08
1.037561.6638993.129322e-08
1.042071.6638213.122101e-08
1.04661.6637443.114849e-08
1.051151.6636663.107565e-08
1.055711.6635883.100250e-08
1.06031.6635113.092902e-08
1.06491.6634333.085523e-08
1.069531.6633563.078112e-08
1.074181.6632783.070669e-08
1.078841.6632013.063193e-08
1.083531.6631243.055685e-08
1.088241.6630473.048144e-08
1.092961.662973.040571e-08
1.097711.6628933.032964e-08
1.102481.6628163.025325e-08
1.107271.6627393.017652e-08
1.112081.6626623.009946e-08
1.116911.6625853.002206e-08
1.121761.6625082.994433e-08
1.126641.6624312.986626e-08
1.131531.6623542.978786e-08
1.136451.6622772.970911e-08
1.141381.6622012.963002e-08
1.146341.6621242.955058e-08
1.151321.6620472.947080e-08
1.156321.661972.939068e-08
1.161351.6618932.931020e-08
1.166391.6618162.922938e-08
1.171461.6617392.914821e-08
1.176551.6616612.906668e-08
1.181661.6615842.898480e-08
1.186791.6615072.890256e-08
1.191951.661432.881997e-08
1.197131.6613522.873701e-08
1.21.6613092.869100e-08
1.202331.6612752.861664e-08
1.207551.6611972.844984e-08
1.21281.6611192.828231e-08
1.218071.6610422.811406e-08
1.223361.6609642.794507e-08
1.228671.6608862.777535e-08
1.234011.6608072.760489e-08
1.239371.6607292.743369e-08
1.244751.6606512.726175e-08
1.250161.6605722.708906e-08
1.255591.6604932.691562e-08
1.261051.6604152.674143e-08
1.266531.6603362.656648e-08
1.272031.6602562.639077e-08
1.277551.6601772.621430e-08
1.28311.6600972.603706e-08
1.288681.6600182.585905e-08
1.294281.6599382.568027e-08
1.29991.6598582.550071e-08
1.305551.6597772.532037e-08
1.311221.6596972.513925e-08
1.316911.6596162.495734e-08
1.322641.6595352.477464e-08
1.328381.6594542.459115e-08
1.334151.6593722.440686e-08
1.339951.659292.422177e-08
1.345771.6592082.403587e-08
1.351621.6591262.384917e-08
1.357491.6590442.366165e-08
1.363381.6589612.347333e-08
1.369311.6588782.328418e-08
1.375261.6587942.309421e-08
1.381231.6587112.290342e-08
1.387231.6586272.271180e-08
1.393261.6585422.251934e-08
1.399311.6584582.232605e-08
1.41.6584482.230400e-08
1.405391.6583732.445848e-08
1.411491.6582882.689957e-08
1.417631.6582022.935127e-08
1.423781.6581163.181363e-08
1.429971.658033.428668e-08
1.436181.6579433.677047e-08
1.442421.6578563.926505e-08
1.448691.6577694.177047e-08
1.454981.6576814.428677e-08
1.46131.6575934.681401e-08
1.467651.6575044.935222e-08
1.474031.6574155.190147e-08
1.480431.6573265.446178e-08
1.486861.6572365.703322e-08
1.493321.6571465.961583e-08
1.499811.6570556.220966e-08
1.506321.6569646.481475e-08
1.512871.6568736.743117e-08
1.519441.6567817.005895e-08
1.526041.6566887.269814e-08
1.532671.6565957.534880e-08
1.539331.6565027.801098e-08
1.546011.6564088.068472e-08
1.552731.6563148.337008e-08
1.559481.6562198.606710e-08
1.566251.6561238.877584e-08
1.573051.6560279.149635e-08
1.579891.6559319.422867e-08
1.586751.6558349.697287e-08
1.593641.6557369.972898e-08
1.61.6556461.022700e-07
1.600571.6556381.027184e-07
1.607521.6555391.082083e-07
1.61451.655441.137221e-07
1.621521.655341.192598e-07
1.628561.655241.248216e-07
1.635641.6551391.304076e-07
1.642741.6550371.360178e-07
1.649881.6549351.416524e-07
1.657051.6548321.473115e-07
1.664251.6547281.529951e-07
1.671481.6546241.587035e-07
1.678741.6545191.644366e-07
1.686031.6544141.701947e-07
1.693351.6543081.759777e-07
1.700711.6542011.817859e-07
1.70811.6540931.876193e-07
1.715521.6539851.934781e-07
1.722971.6538761.993623e-07
1.730461.6537672.052721e-07
1.737971.6536562.112075e-07
1.745521.6535452.171688e-07
1.753111.6534332.231559e-07
1.760721.6533212.291690e-07
1.768371.6532072.352083e-07
1.776051.6530932.412738e-07
1.783771.6529782.473657e-07
1.791521.6528622.534840e-07
1.79931.6527462.596289e-07
1.81.6527352.601800e-07
1.807121.6526282.687582e-07
1.814971.652512.782185e-07
1.822851.6523912.877199e-07
1.830771.6522712.972626e-07
1.838731.652153.068467e-07
1.846711.6520293.164725e-07
1.854741.6519063.261401e-07
1.862791.6517833.358496e-07
1.870891.6516583.456014e-07
1.879011.6515333.553955e-07
1.887181.6514073.652322e-07
1.895371.651283.751116e-07
1.903611.6511523.850339e-07
1.911881.6510233.949994e-07
1.920181.6508934.050081e-07
1.928531.6507614.150603e-07
1.93691.6506294.251562e-07
1.945321.6504964.352959e-07
1.953771.6503624.454797e-07
1.962261.6502274.557077e-07
1.970781.6500914.659801e-07
1.979341.6499544.762972e-07
1.987941.6498154.866591e-07
1.996581.6496764.970660e-07
21.6496215.011900e-07
2.005251.6495365.258585e-07
2.013961.6493945.667802e-07
2.022711.6492516.078796e-07
2.03151.6491076.491576e-07
2.040321.6489626.906150e-07
2.049191.6488167.322524e-07
2.058091.6486687.740707e-07

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—